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PRODUCTS OF VECTORS
THE DIFFERENTIATION OF VECTORS
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a x b angular velocity arbitrary axes axis boundary cartesian charge circuit closed curve closed path closed surface co-ordinates components curl curl curl grad curl H cyclic denotes differential displacement div grad divergence dx dy dy dz electric field electric force electromagnetic element equation Example Figure fluid Gauss's theorem grad div grad f gradient greatest rate Green's theorem Hence lamellar lamellar field level surfaces line integral linear magnetic field magnetic force magnitude and direction Miscellaneous Exercises non-zero operator outward-drawn normal parallel physical point-function position vector Prove radius vector rate of increase region result right-handed rotation round any closed satisfy scalar algebra scalar field scalar function scalar potential scalar product solenoidal solid angle space Stokes's theorem surface integral tangential tetrahedron triple product unit area unit vectors vector analysis vector area vector field vector potential vector product vector quantity volume zero